The HCF and LCM of the polynomials \( p(x) \) and \( q(x) \) are \( 5(x-2)(x+9) \) and \( 10\lef...

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The HCF and LCM of the polynomials \( p(x) \) and \( q(x) \) are \( 5(x-2)(x+9) \) and \( 10\left(x^{2}+16 x+63\right) \) \( (x-2)^{2} \). If \( p(x) \) is \( 10(x+9)\left(x^{2}+5 x-14\right) \), then \( q(x) \) is
(a) \( 5(x+9)(x-2) \)
(b) \( 10(x-2)^{2}(x+7) \)
(c) \( 10(x+9)(x-2) \)
(d) \( 5(x-2)^{2}(x+9) \)
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